Step-by-step explanation:
mahirap yung tanong at pinapasagot mo
Is this 9x+4=5+5x or is it 9x•4=5•5x?
R. The First letter comes before S, T, U, V, and W
![\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}](https://tex.z-dn.net/?f=%5Cmathfrak%7B%5Chuge%7B%5Corange%7B%5Cunderline%7B%5Cunderline%7BAnSwEr%3A-%7D%7D%7D%7D%7D)
Actually Welcome to the Concept of the Similarities.
Since here, first figure is a Triangle, hence similarity of a triangle is given by ratio of it sides and make them equate,
hence for,
1.) 16/12 = x/9 ===> 4/3 = x/9 ===> x = 9*4/3 ==> x = 36/3
hence the value of x is 12 , ===> x = 12 .
2.) here,in the case of a Reactangle the relation is such that, length = 2* breadth,
hence we apply the relation,
x = 2*4.5 ===> x = 9 units.
Answer:
The value is ![k =109.6 \ miles](https://tex.z-dn.net/?f=%20k%20%3D109.6%20%5C%20miles%20)
Step-by-step explanation:
The diagram illustrating the question is shown on the first uploaded image
From the question we are told that
The distance from city A to B is AB = 467.3 miles
The bearing from B to C is ![\theta_{BC} = N 28.7E](https://tex.z-dn.net/?f=%5Ctheta_%7BBC%7D%20%3D%20%20N%2028.7E)
The bearing from B to A is ![\theta_{BA} = N 60.7E](https://tex.z-dn.net/?f=%5Ctheta_%7BBA%7D%20%3D%20%20N%2060.7E)
The bearing from A to B is ![\theta_{AB} = S60.7W](https://tex.z-dn.net/?f=%5Ctheta_%7BAB%7D%20%3D%20%20S60.7W)
The bearing from A to C is ![\theta_{AC} = S79.1W](https://tex.z-dn.net/?f=%5Ctheta_%7BAC%7D%20%3D%20%20S79.1W)
Generally from the diagram
![\theta_A = 180 - 60.7 -79.1](https://tex.z-dn.net/?f=%5Ctheta_A%20%20%3D%20%20180%20-%2060.7%20-79.1)
=> ![\theta_A = 40.2 ^o](https://tex.z-dn.net/?f=%5Ctheta_A%20%20%3D%20%2040.2%20%5Eo)
Also
![\theta_B = 32^o](https://tex.z-dn.net/?f=%5Ctheta_B%20%20%3D%20%2032%5Eo%20)
and
![\theta_C = 180 - (\theta_A +\theta_B )](https://tex.z-dn.net/?f=%5Ctheta_C%20%20%3D%20%20180%20-%20%28%5Ctheta_A%20%20%2B%5Ctheta_B%20%29)
=> ![\theta_C = 180 - (40.2 + 32 )](https://tex.z-dn.net/?f=%5Ctheta_C%20%20%3D%20%20180%20-%20%2840.2%20%20%2B%2032%20%29)
=> ![\theta_C = 107.8 ^o](https://tex.z-dn.net/?f=%5Ctheta_C%20%20%3D%20%20107.8%20%5Eo)
Generally according to Sine Rule
![\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7Bsin%20%28%5Ctheta_A%29%7D%20%20%3D%20%5Cfrac%7BCA%7D%7Bsin%20%28%5Ctheta_B%29%7D%20%3D%5Cfrac%7BAB%7D%7Bsin%20%28%5Ctheta_C%29%7D)
=>
So
![\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7Bsin%20%2840.2%29%7D%20%20%3D%20%5Cfrac%7B467.3%20%7D%7Bsin%20%28107.8%29%7D)
=> ![BC = 316.8 \ miles](https://tex.z-dn.net/?f=BC%20%3D%20316.8%20%5C%20miles)
Also
![\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}](https://tex.z-dn.net/?f=%5Cfrac%7BCA%7D%7Bsin%20%2832%29%7D%20%3D%20%20%5Cfrac%7B467.3%20%7D%7Bsin%20%28107.8%29%7D)
![CA = 260 .1 \ miles](https://tex.z-dn.net/?f=CA%20%3D%20260%20.1%20%5C%20miles%20)
Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as
![k = [CA +BC] - AB](https://tex.z-dn.net/?f=k%20%3D%20%5BCA%20%2BBC%5D%20%20-%20AB%20)
=> ![k = [260 .1 +316.8]- 467.3](https://tex.z-dn.net/?f=%20k%20%3D%20%5B260%20.1%20%2B316.8%5D-%20467.3%20)
=> ![k =109.6 \ miles](https://tex.z-dn.net/?f=%20k%20%3D109.6%20%5C%20miles%20)